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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >On Airy functions and stresses in nonisotropic heterogeneous 2d-elasticity
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On Airy functions and stresses in nonisotropic heterogeneous 2d-elasticity

机译:非各向同性非均匀二维弹性中的Airy函数和应力

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摘要

Problems in elasticity are described by relations between the displacement field u, the strain or deformation tenser E, and the stress tenser sigma. In 2D elasticity and if volume forces are absent, one may also consider an elastic potential. We explain these settings for a domain Omega with finitely many holes. On such domains the problem for the displacement and the potential problem are not necessarily equivalent. We will also recall the relation between these quantities. We conclude the paper with the potential setting for some specific problems in semi-periodic domains with infinite many holes. Also the setting for non-smooth domains is addressed. (C) 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
机译:弹性问题由位移场u,应变或变形张量E和应力张量sigma之间的关系描述。在二维弹性中,如果没有体积力,则也可以考虑弹性势。我们为具有有限孔的域Omega解释了这些设置。在这样的域上,位移问题和潜在问题不一定相等。我们还将回顾这些数量之间的关系。我们以具有无限多个孔的半周期域中某些特定问题的潜在设置作为本文的结尾。还解决了非平滑域的设置。 (C)2008 WILEY-VCH Verlag GmbH&Co.KGaA,Weinheim

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